Preprojective algebras, skew group algebras and Morita equivalences
报告专家： 汪任（合肥工业大学）
报告时间：2024年7月1日（星期一）上午9：30-10：30
报告地点：腾讯会议：818-254-893
报告摘要：Let $\mathbb{K}$ be a field of characteristic $p$ and $G$ be a cyclic $p$-group which acts on a finite acyclic quiver $Q$. The folding process associates a Cartan triple to the action. We establish a Morita equivalence between the skew group algebra of the preprojective algebra of $Q$ and the generalized preprojective algebra associated to the Cartan triple in the sense of Geiss, Leclerc and Schr\"{o}er. The Morita equivalence induces an isomorphism between certain ideal monoids of these preprojective algebras, which is compatible with the embedding of Weyl groups appearing in the folding process. This is a joint work with Xiao-Wu Chen.
专家简介：汪任，合肥工业大学副教授，2017年博士毕业于中国科学技术大学， 2018-2019期间德国斯图加特大学访问学者。 研究方向是代数表示论。目前已在J. Algebra, J. Pure Appl. Algebra等高水平SCI杂志上发表论文数篇。
邀请人：耿圣飞
